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330120302134221 = 33177953991686239
BaseRepresentation
bin100101100001111100001111…
…1010101111000001111001101
31121021212012012110022222002000
41023003320133111320033031
5321232142334321243341
63130035101223422513
7126351255555350424
oct11303703725701715
91537765173288060
10330120302134221
11962062633775a5
12310376392b4a39
13112282984c5771
145b73c9d2d62bb
1528272bedbe8b6
hex12c3e1f5783cd

330120302134221 has 64 divisors (see below), whose sum is σ = 524488089600000. Its totient is φ = 204474353031936.

The previous prime is 330120302134201. The next prime is 330120302134243. The reversal of 330120302134221 is 122431203021033.

330120302134221 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 0 + 302 + 134 + 221 = 666.

It is not a de Polignac number, because 330120302134221 - 29 = 330120302133709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330120302134201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194930020 + ... + 196616258.

It is an arithmetic number, because the mean of its divisors is an integer number (8195126400000).

Almost surely, 2330120302134221 is an apocalyptic number.

It is an amenable number.

330120302134221 is a deficient number, since it is larger than the sum of its proper divisors (194367787465779).

330120302134221 is a wasteful number, since it uses less digits than its factorization.

330120302134221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691743 (or 1691737 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 330120302134221 its reverse (122431203021033), we get a palindrome (452551505155254).

The spelling of 330120302134221 in words is "three hundred thirty trillion, one hundred twenty billion, three hundred two million, one hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 17 27 51 79 153 237 459 711 1343 2133 4029 5399 12087 16197 36261 48591 91783 145773 275349 426521 826047 1279563 1686239 2478141 3838689 5058717 7250857 11516067 15176151 21752571 28666063 45528453 65257713 85998189 133212881 195773139 257994567 399638643 773983701 1198915929 2264618977 3596747787 6793856931 9104004361 20381570793 27312013083 61144712379 81936039249 154768074137 245808117747 464304222411 719216344519 1392912667233 2157649033557 4178738001699 6472947100671 12226677856823 19418841302013 36680033570469 110040100711407 330120302134221